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Class 12
Mathematics
Relations and Functions
letbe a function defined as the inverse of nbsp f...

Question:
Letbe a function defined as. The inverse of f is map g: Range

(A)

(B)

(C)

(D)

Answer:

It is given that is defined as

Let y be an arbitrary element of Range f.

Then, there exists x ∈such that y = f(x)

Let us define g: Rangeas

Now,

∴

Thus, g is the inverse of f i.e., f ^{- 1} = g.

Hence, the inverse of f is the map g: Range, which is given by

The correct answer is B.

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Question:
Letbe a function defined as. The inverse of f is map g: Range

(A)

(B)

(C)

(D)

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Question: Letbe a function defined as. The inverse of f is map g: Range (A) (B) (C) (D)

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Question:
Letbe a function defined as. The inverse of f is map g: Range

(A)

(B)

(C)

(D)